-1%2F5(2x%2B3).jpeg "1/4(x+4) 1/5(2x+3)")
Simplifying Algebraic Expressions: 1/4(x+4) and 1/5(2x+3)
When working with algebraic expressions, it's essential to understand how to simplify them. Simplification is the process of combining like terms and eliminating any parentheses or fractions. In this article, we will explore two expressions: 1/4(x+4) and 1/5(2x+3).
Simplifying 1/4(x+4)
To simplify 1/4(x+4), we need to distribute the 1/4 to the terms inside the parentheses.
Step 1: Multiply the 1/4 by the terms inside the parentheses.
1/4(x) + 1/4(4)
Step 2: Simplify the expression.
x/4 + 1
So, the simplified form of 1/4(x+4) is x/4 + 1.
Simplifying 1/5(2x+3)
To simplify 1/5(2x+3), we need to distribute the 1/5 to the terms inside the parentheses.
Step 1: Multiply the 1/5 by the terms inside the parentheses.
1/5(2x) + 1/5(3)
Step 2: Simplify the expression.
2x/5 + 3/5
So, the simplified form of 1/5(2x+3) is 2x/5 + 3/5.
Conclusion
In this article, we learned how to simplify two algebraic expressions: 1/4(x+4) and 1/5(2x+3). By distributing the fractions to the terms inside the parentheses and combining like terms, we simplified the expressions to x/4 + 1 and 2x/5 + 3/5, respectively. Simplifying algebraic expressions is an essential skill in mathematics, and with practice, you can become proficient in simplifying complex expressions.
